Lattices of composition formations of finite groups and the laws

DOI10.1142/S0219498818500846zbMath1437.20014MaRDI QIDQ4639636

Aleksandr Tsarev, Nikolay N. Vorob'ev

Publication date: 11 May 2018

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

distributive latticeformation of groupssubgroup functor\(\mathfrak{X}\)-separated lattice of formations\(\tau\)-closed \(n\)-multiply \(\omega\)-composition formationlaw of a lattice

Mathematics Subject Classification ID

Finite solvable groups, theory of formations, Schunck classes, Fitting classes, (pi)-length, ranks (20D10) Series and lattices of subgroups (20D30)

Related Items (11)

Separated lattices of multiply \(\sigma \)-local formations ⋮ Laws of the lattice of all \(\mathfrak{X}\)-local formations of finite groups ⋮ On questions posed by Shemetkov, Ballester-Bolinches, and Perez-Ramos in finite group theory ⋮ On the modularity and algebraicity of the lattice of multiply \(\omega \)-composition Fitting classes ⋮ Characterizations of some classes of finite σ -soluble PσT -groups ⋮ Unnamed Item ⋮ Inductive lattices of totally composition formations ⋮ Laws of the lattices of foliated formations of \(T\)-groups ⋮ On the maximal subformations of partially composition formations of finite groups ⋮ On the modularity property of the lattice of partially composition Fitting classes ⋮ Algebraic lattices of partially saturated formations of finite groups

Cites Work

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• Formations of finite monoids and formal languages: Eilenberg's variety theorem revisited.
• Laws of the lattices of partially composition formations.
• \(\mathfrak G\)-separability of the lattice of \(\tau\)-closed totally saturated formations.
• Finite soluble groups
• Two remarks on the identities of lattices of \(\omega\)-local and \(\omega\)-composition formations of finite groups.
• Local definitions of formations of finite groups.
• Formations of finite monounary algebras
• On the lattices of saturated and solubly saturated formations of finite groups.
• Languages associated with saturated formations of groups
• Products of formations of finite groups.
• Multiply $$\mathfrak{L}$$ formations of finite groupsformations of finite groups
• Structure Theory for Canonical Classes of Finite Groups
• On the modularity of a lattice of τ-closed n-multiply ω-composite formations
• On Lattices of Formations of Finite Groups
• On a Question of the Theory of Partially Composition Formations
• On the modularity of a lattice of τ-closed totally saturated formations of finite groups
• On a Question of the Theory of Totally Saturated Formations of Finite Groups
• Formations of lattice ordered groups and of GMV-algebras
• On partially saturated formations of finite groups
• The property of being algebraic for the lattice of all τ-closed totally saturated formations
• A note on subgroup-closed Fitting classes of finite soluble groups
• A question from the Kourovka notebook on formation products
• ON 𝔛-SATURATED FORMATIONS OF FINITE GROUPS
• Lattices of Ω-foliated formations
• ON LAWS OF LATTICES OF PARTIALLY SATURATED FORMATIONS
• On Modularity of the Lattice of Totally Saturated Formations of Finite Groups
• Classes of Finite Groups
• Multiply \(\omega\)-local formations and Fitting classes of finite groups
• On the distributivity of the lattice of solvable totally local Fitting classes

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